Utility of Iiss in Composing Lyapunov Functions for Interconnections
نویسنده
چکیده
Decomposition of a system into smaller components sometimes allows us to analyze and design the system effectively based on properties of the components. The notion of inputto-state stability (ISS) has been widely used to characterize components that refuse linear-like properties. It is, however, still restrictive, and it cannot cover a lot of saturation mechanisms which often arise in practical systems. The notion of integral input-to-state stability (iISS) is a way to remove the limitation of ISS. This paper collects and illustrates some recent advances in the framework of iISS that allows us to broaden the class of nonlinearities we can address in analysis and design of interconnected systems by making use of Lyapunov functions.
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